What is the second derivative of f(x) = 6lnx - 5/ x^4 f(x)=6lnx−5x4?
1 Answer
Jan 15, 2016
f''(x)
= - 6/x^2 - 100/x^6 =−6x2−100x6
Explanation:
Begin by writing the function as:
f(x) = 6 lnx -
5x^-4 5x−4 then f'(x) =
6.(1/x) + 20x^-5 6.(1x)+20x−5
f'(x) = 6/x + 20x^-5 = 6x^-1 +20x^-5
rArr f''(x) = - 6x^-2 - 100x^-6 = - 6/x^2 - 100/x^6
